摘要
研究时滞非局部扩散方程的双稳波前解的波速符号.首先,借助单调半流的渐近传播速度理论给出双稳波速的区间估计;然后利用上下解、比较原理和双稳行波解的全局渐近稳定性建立确定波速符号的条件;最后,把所得结果应用到具有两类特殊核函数的非局部扩散方程中,得到了双稳波速符号的正负性.
The speed sign for the bistable traveling wavefront to delayed nonlocal dispersal equations is considered.Firstly,an interval estimate of the bistable wave speed is provided with the help of the theory of asymptotic speeds of spread for monotone semi-flows.Then a condition for determining the speed sign is established by applying the upper-lower solutions,comparison principle and the globally asymptotic stability of the bistable traveling wave.As an application of the results,the nonlocal dispersal equations with two kinds of specific kernel function are discussed,and the properties of positive and negative of the sign of bistable wave speed are obtained.
作者
张国宝
何娟
ZHANG Guo-bao;HE Juan(College of Mathematic and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2021年第3期7-12,共6页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(11861056)。
关键词
非局部扩散方程
全局渐近稳定性
双稳行波解
波速符号
时滞
nonlocal dispersal equation
globally asymptotic stability
bistable traveling wavefront
wave speed sign
time delay
